Pareto principle
Roughly 80% of effects come from 20% of causes.
The Pareto principle, also known as the 80:20 rule, the law of the vital few, and the principle of factor sparsity, states that for many outcomes roughly 80% of consequences come from 20% of causes.
- field
- Quality management, economics, sociology
- known_for
- Pareto principle (80:20 rule)
- associated_people
- Joseph M. Juran, Vilfredo Pareto
- first_work
- Cours d'économie politique (Pareto)
- mathematical_basis
- Power law (Pareto) distribution
Lore & Background
Juran came across the work of Italian polymath Vilfredo Pareto. Pareto noted that approximately 80% of Italy's land was owned by 20% of the population. Juran applied the approximation that 80% of problems stem from 20% of the causes to the field of quality management. Later during his career, Juran preferred to describe this as 'the vital few and the useful many', to dissuade from an interpretation of the principle as the contribution of the 80% being without value. The demonstration of the Pareto principle is explained by a large proportion of process variation being associated with a small proportion of process variables. This is a special case of the wider phenomenon of Pareto distributions. If the Pareto index α is chosen as α = log45 ≈ 1.16, then one has 80% of effects coming from 20% of causes. Benoit Mandelbrot offered an explanation for this pattern in economics and social science based on income dynamics. According to his reasoning, above a certain minimum income threshold, the probability of an individual's income increasing or decreasing by a fixed proportion remains constant across all income levels. This scale-invariant property is a defining feature of power-law distributions, producing outcomes completely different from Normal or Gaussian distribution phenomena.
Reader's Guide
The Pareto principle is significant as a heuristic in business management, quality control, and economics, encapsulated in the adage that '80% of sales come from 20% of clients.' It highlights the uneven distribution of causes and effects, urging focus on the 'vital few' factors that drive most outcomes. Its legacy extends to risk management, as power-law distributions explain the frequent breakdowns of sophisticated financial instruments modeled on Gaussian assumptions, since rare extreme events occur with much greater probability under power-law statistics. The principle is only tangentially related to the concept of Pareto efficiency. Mathematically, it is associated with a power law (Pareto) distribution, and its application is not limited to the exact 80:20 ratio—distributions may vary. Juran's later refinement to 'the vital few and the useful many' underscores that the majority of causes, while less impactful, are not without value. The principle remains a foundational concept in fields ranging from quality management to economics.
Did You Know?
- Pareto showed in his first work, Cours d'économie politique, that approximately 80% of the land in the Kingdom of Italy was owned by 20% of the population.
- The principle is only tangentially related to the concept of Pareto efficiency.
- Benoit Mandelbrot offered an explanation for the pattern based on income dynamics, noting a scale-invariant property above a certain minimum income threshold.
Frequently Asked Questions
What is the Pareto principle?
The Pareto principle, commonly called the 80:20 rule, observes that in many systems roughly 80% of results stem from just 20% of contributing factors. It functions as a heuristic rather than a rigid law, so the exact ratio shifts depending on the context being analyzed.
What is the mathematical basis of the Pareto principle?
The principle rests on the Pareto distribution, a power-law model in which a small subset of causes disproportionately drives the bulk of outcomes. This mathematical structure is what makes the 80:20 pattern observable across economics, sociology, and quality management.
In which fields is the Pareto principle most relevant?
It is most commonly applied in quality management, economics, and sociology, where isolating the 'vital few' causes helps teams prioritize limited resources. Alternate names for the concept include the 'law of the vital few' and the 'principle of factor sparsity.'
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